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Collingridge, D.S. (2013). A primer on quantitized data analysis and permutation testing. Journal of Mixed Methods Research, 7(1), 81-97. doi: 10.1177/1558689812454457
 
Provides an alternative to significance testing with non-parametric statistics, including for smaller samples, with details of how to conduct permutation testing using open-source software.

Fakis, A., Hilliam, R., Stoneley, H., & Townend, M. (2014). Quantitative analysis of qualitative information from interviews: A systematic literature review. Journal of Mixed Methods Research, 8(2), 139-161. doi: 10.1177/1558689813495111

An extensive search for articles using statistical methods to analyse qualitative interview data resulted in just 14 studies to review in detail. Most analyses used were simple descriptive or bivariate statistics. The authors identified multiple problems in the ways these analyses were conducted.